Question

A cylinder is 8.2 inches high and has a diameter of 8.2 inches. Find the volume to the nearest tenth. Use 3.14

a. 105.6 in3

b. 211.1 in3

c, 432.8 in3

d. 856.6 in3

Answer 1

Option C

Explanation:

The volume of a cylinder is given as the product of cross sectional area and height. Therefore, it is expressed as

V=Ah

Since the cross sectional area is given by

`A=\pi r^(2)`

Substituting the formula of A into V then

`V=\pi r^(2)h`

Where V is the volume, r is radius and h is height.

Since r is half the diameter then the radius will be 0.5*8.2=4.1 inches

Substituting 4.1 in for r and 8.2 in for h then

`V=\pi* 4.1^(2)* 8.2`

`V=3.14*4.1r^(2)*8.2=432.82388\\V\approx 432.8 in^(3)`

Therefore, option C is correct